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If A is a square matrix of order 2xx2 su...

If A is a square matrix of order 2`xx`2 such that `A^(2)=O` then,

A

`A=((alpha,beta),(gamma,-alpha))`, where `alpha,beta,gamma` are numbes such that `alpha^(2)+betagamma=0`

B

`A=((alpha,beta),(beta,-alpha))` with `alpha=+-beta`

C

`A=((alpha,-alpha),(-beta,beta))` with `alpha^(2)+beta^(2)=1`

D

None of these

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The correct Answer is:
A
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 2-MCQS
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  2. Let alphaandbeta be such that piltalpha-betalt3pi. If sinalpha+si...

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  3. If A is a square matrix of order 2xx2 such that A^(2)=O then,

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  4. If G is the centroid of a DeltaABC, then GA^(2)+GB^(2)+GC^(2) is equal...

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  5. If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...

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  6. Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2...

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  7. If y^2 = p ( x ), a polynomial of degree 3, then 2 d/(dx) (y^3 (d^2y)/...

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  9. Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx

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  10. The area bounded by the curve y=(x-1)(x-2)(x-3) and x-axis lying betwe...

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  11. The particular solution of the differential equation y'+3xy=x which pa...

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  12. logically equivalent to ~(~p=>q) is

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  14. The value of cos^-1 (cos12) - sin^-1 (sin 12) is

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  15. Let alpha=(pi)/(5) and A=[(cosalpha,sinalpha),(-sinalpha,-cosalpha)], ...

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  16. If in a triangle ABC, a^2+b^2+c^2=ca+ab sqrt3 then the triangle is

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  17. The difference of the tangents of the angles which the lines x^(2)(sec...

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  18. If |a|=|b|=|c|=1anda*b=b*c=c.a=costheta,then the maximum value of thet...

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  19. If alpha,beta,gamma be the angles which a line makes with the coordina...

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  20. let |a|=2sqrt(2),|b|=3 and the angle between a and b is (pi)/(4). If a...

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